Answer:
34
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
Here [ a, b ] = [ 1, 6 ], thus
f(b) = f(6) = 6³ - 9(6) = 216 - 54 = 162
f(a) = f(1) = 1³ - 9(1) = 1 - 9 = - 8
average rate of change = 
= 
= 34
Answer:
100%
Step-by-step explanation:
Use conditional probability:
P(B | A) = P(B and A) / P(A)
P(B | A) = (12/28) / P(A)
We need to find the probability that a student studies art.
P(A or B) = P(A) + P(B) − P(A and B)
24/28 = P(A) + (12+12)/28 − 12/28
P(A) = 12/28
P(B | A) = (12/28) / (12/28)
P(B | A) = 1
What this means is that all of the students who study art also study biology.
Answer:
Tyler currently does 40 squats
Step-by-step explanation:
Tyler does squats and pushups.
<u>Currently:</u>
Number of pushups = 25
Number of squats = x
Total number = 25 + x
<u>After increase:</u>
Number of pishups 
Number of squats 
Total number 
If Tyler meets his goal, he will do a total of 13 more squats and pushups than he does now, thus
Answer:
yes it is
Step-by-step explanation:
it is since there is a common ratio between each term
Step-by-step explanation:
f(x) = x / (x - 7) = 1 + 7 / (x - 7).
The domain of f(x) depends whether the denominator of the rational expression is non-zero.
When (x - 7) = 0, x = 7.
Hence domain of f(x)
= All real values of x excluding 7. (C)
